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132825320 = 2354916763
BaseRepresentation
bin1111110101011…
…00000011101000
3100020221020002022
413322230003220
5233000402240
621102524012
73201665555
oct772540350
9306836068
10132825320
1168a816a1
1238596608
1321697784
14138d7a2c
15b9da9b5
hex7eac0e8

132825320 has 32 divisors (see below), whose sum is σ = 299509920. Its totient is φ = 53014080.

The previous prime is 132825313. The next prime is 132825331. The reversal of 132825320 is 23528231.

It is a self number, because there is not a number n which added to its sum of digits gives 132825320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16259 + ... + 23021.

It is an arithmetic number, because the mean of its divisors is an integer number (9359685).

Almost surely, 2132825320 is an apocalyptic number.

132825320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132825320 is an abundant number, since it is smaller than the sum of its proper divisors (166684600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132825320 is a wasteful number, since it uses less digits than its factorization.

132825320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 132825320 is about 11524.9867678883. The cubic root of 132825320 is about 510.2233034682.

The spelling of 132825320 in words is "one hundred thirty-two million, eight hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 491 982 1964 2455 3928 4910 6763 9820 13526 19640 27052 33815 54104 67630 135260 270520 3320633 6641266 13282532 16603165 26565064 33206330 66412660 132825320